Exponential iteration and Borel sets

Abstract

We determine the exact Borel class of the points whose iterates under $\exp (z)+a$ tend to infinity. We also prove that the sets of non-escaping Julia points for many of these functions are topologically equivalent.

10 pages

References in corpus (3)

• Geometrically finite transcendental entire functions
• The topological dimension of radial Julia sets
• Escaping sets are not sigma-compact

Cited by in corpus (1)

• The escaping set in transcendental dynamics